Higgs phenomena in asymptotically free gauge theories | Zendy

T. P. Cheng | Zendy; E. Eichten | Zendy; Ling-Fong Li | Zendy

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Higgs phenomena in asymptotically free gauge theories

Author(s) -

T. P. Cheng,

E. Eichten,

Ling-Fong Li

Publication year - 1974

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.9.2259

Subject(s) - physics , asymptotic freedom , scalar (mathematics) , gauge theory , higgs boson , mathematical physics , yukawa potential , abelian group , theoretical physics , gravitational singularity , tensor (intrinsic definition) , particle physics , quantum mechanics , pure mathematics , mathematics , geometry

We examine in detail the possibility of using the Higgs mechanism to remove the catastrophic infrared singularities in non-Abe&n gauge theories which are symptotically free. Our investigation encompasses theories based on SU(N) or O(N) with scalars in one vector, two vector, M vector, adjoint, tensor and adjoint plus one vector representations. We find that for these theories an S-matrix, in the perturbative sense, and asymptotic freedom can not coexist. We show that a wide class of Yukawa couplings can be ignored in studying the large momentum properties of the scalar couplings.

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